B. Tech. Production & Industrial Engineering - Shiats.edu.in

Center of gravity, centroids of line, area, volume and composite Bodies, area moment of inertiaand mass moment of inertia for plane figures and bodies including composite bodies, productmoment of inertia, parallel axis theorem, principal moment of inertia.3. FrictionIntroduction, dry friction, co-efficient of static friction, friction cone, screw jack and beltfriction.4. BeamsBending moment and shear force diagrams for statically determinate beams.5. Kinematics of Rigid BodiesPlane motion, absolute motion, relative motion, translating axes and rotating axes.6. Kinetics of Rigid BodiesPlane motion, force Mass and Acceleration, Work and energy, Impulse and momentum,principles of energy conservation, Principle of virtual work, D’AleMbert’s principal anddynamic equilibrium.References:1. Beer F.p and Johnston F.R: mechanics for engineers, McGraw hill.2. Meriam, J.L: Statistics, John Wiley.3. Meriam, J.L: Dynamics, John Wiley.4. Shames I.H: Engineering Mechanics, Prentice Hall of India.5. Dayaratnam, P: Statistics, Tata Mc Graw Hill.6. Timeshenko, S.and Ypung D: Engineering Mechanics, Mc Graw Hill.ENGINEERING MATHEMATICS - ICourse Code MAS-411 CREDIT : 4 (3-1-0)1. Matrices :Elementary row and column transformations, Linear dependence, Rank ofmatrix, Consistency of system of linear equations and solution of linear equations,Characteristic equation, and Caley-Hamilton theorem, Eigen values and eigen vectors,Diagonalisation, Complex and unitary matrices.2. Differential Calculus-I:Leibnitz theorem, Partial differentiation, Euler’s theorem,Asymptotes, Curve tracing, Change of Variables, expansion of functions of one andseveral variables. Cylindrical and spherical coordinate systems3. Differential Calculus-II:Jacobian, Approximation of errors, Extrema of function ofseveral variables, Lagrange’s method of multipliers (simple applications).4. Multiple integrals:Double and triple integrals, change of order, change of variables,Gamma & Beta functions,application to area, volume, Disrichlet’s integral and itsapplications.5. Vector Calculus:Point functions, Gradient, divergence and curl of a vector and theirphysical interpretations, line, surface & volume integrals, Gauss divergence theorem andGreens & Stokes theorem.References:1. Shanti Narayan: A Text Book of matrices, S.Chand & Co.2. Thomas/Finney: Calculus and Analytic Geometry, Narosa Pub. House.3. J. N. Kapur: Mathematical Statistis, S. Chand &Co.4. C. Prasad: Mathematics for Engineers, Prasad Mudranalaya.5. B.S. Grewal: Higher Engineering Mathematics, Khanna Publishers.6. Jaggi & Mathur : Advanced Engineering Mathematics, Khanna Publishers.7. Piskunov, N.: Differential & Integral Calculus, Moscow Peace Pub.